Algebraic-Numerical Chess Notation

In this article Algebraic-Numerical Chess Notation, I will
develop a new chess notation based on the algebraic notation and
the numerical board invented by the arabs (10th century AD,
for recording pieces tours and chess games). Today,
it is the algebraic chess notation which is adopted by the
orthodox chess Federation, where the pieces moves are
identified by the departure and arrival squares, where each square
of the 8x8 chessboard is represented by the coordinates (x,y),
x=a,b,c,d,e,f,g,h and y=1,2,3,4,5,6,7,8. Example: 1. d2-d4
Ng8 - f6 means that the White pawn moves from the square d2 to d4
and the black Knight moves fom the square g8 to f6. Where the pieces
are denominated by the letters R=Rook, N=Knight, B=Bishop,
Q=Queen, K=King and P=Pawn.
(see board (1)). Now, instead of using the coordinate (x,y) for
for the pieces moves, I will use the following notation to
represent the pieces move:

Au-v
where A designates the the piece name and
u, v identify the squares of the 8x8
chessboards in terms of numbers and not
in terms of (x,y) where x=a,b,c,d,e,f,g,h
and y =1,2,3,4,5,6,7,8.

Thus using the previous
numerical chessboard with pieces arrangements (see board(1))
we can write the moves Ng1- f3 by N7-22.

57 R

58 N

59 B

60 Q

61 K

62 B

63 N

64 R

49 P

50 P

51 P

52 P

53 P

54 P

55 P

56 P

41

42

43

44

45

46

47

48

33

34

35

36

37

38

39

40

25

26

27

28

29

30

31

32

17

18

19

20

21

22

23

24

9 P

10 P

11 P

12 P

13 P

14 P

15 P

16 P

1 R

2 N

3 B

4 Q

5 K

6 B

7 N

8 R

Board (1)

Now let's consider the following LASKER-CAPABLANCA chess game and
rewrite it in this new notation. In the algebraic notation it is:

Now instead of considering the numerical chessboard with the
squares identified by 1 to 64 we can identify them by any other
type of numbers and record the chess game. For example if we consider
the the first 64 prime numbers from 2 to 317 with initial
arrangement of pieces (see board(2)), we can rewrite LASKER-
CAPABLANCA chess game as:

The interest in using this new Algebraic-Numerical chess notation
is that each recorded chess game can have application in practice.
For example, the previous recorded chess game in terms of prime numbers
gives rise to sequences of unordered prime numbers which can be
applied in mathematics. Thus we see that from the first move to the
10th moves of the respective white and black we get the sequence
41,127, 257, 167, 17, 83, 281, 101, 197, 13, 151, 233, 191, 151,
197, 251, 151, 37, 113, 167, 113, 7, 113, 293, 113, 83, 113, 311,
3, 71, 313, etc..

Now instead of using the prime numbers we can for eample use the
Fibonacci numbers, perfect numbers, Mersenne numbers, Fermat
numbers, and othe types of numbers to record chess games.
We can also use binary, hexadecimal, octal, code numbers for the
squares of the 8x8 chessboards. Also, we can use alphabetic and
specific characters. The recorded chess will give special formed
words. We can also use electronic gates (as AND, OR, XOR, and their
combination) to identify the squares of the 8x8 chessboard. In that
case a recorded chess game will give rise to electronic circuitry
which cxan be useful in electronic applications. We can also use
the Mendeleiv chemical elements to identify the squares of the
10x10 chessboard. So, a recorded chess game may give rise
to (probably) important chemical combinations which can be useful
in chemistry and biology. There are a number of fields which this
Algebraic-Numerical chess noation may very practical, not in
chess games, but in mathematics, physics, biology, electronic,
computer programming, secret coding, and many other social and
artistic fields. In other words, using this new notation, a
recorded chess game (from ordinary chess players to grandmasters)
can be practically used in life and not only as an entertainement
as it is now.

[Missoum responded with the following email when prompted for an example.
-- DH]

I was taking a walk with my 4 year old son ALGORITHM, and at one moment
he sang HIHOAAA, etc. I said to him: "ALGOR! Do you think that you will
have a winning award with this bizarre song." But suddenly, this gave me the
idea that a chess game can lead to a new musical melody,
using the algebraic numerical chess notation. Here is a simple practical
example of application of my article:

Take the 64 piano musial notes from the bass to the sharpest:

CDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABCDEFGABC

Identify each square of the 8x8 chessboard by one of these notes, starting
with c for square 1, D for square two, etc... up to the 64th square
following the previous note order. Play a chess game and translate the
moves with the Algebraic-Numerical chess notation using
the notes for departure squares and arrival squares.

Example: let's say that the moves d2-d4 d7-d5 are
d(D)-d(E) d(B)-d(G), where D, E, B, G are piano notes representing
the departure and arrival squares.
Then using this notation, the played chess game
will give a rise to a new musical
melody (perhaps terrific, or very bizarre).
We can also also use the guitar musical notes instead of the piano notes
and apply the Algebraic-Numerical chess notation. So, a played chess game
will give rise to a new guitar musical melody.
In other words, we can compose new music using a chess game and the
Algebraic-Numerical chess notation.

Written by A. Missoum.
Edited by David Howe.
WWW page created: October 7, 1997.
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